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Regular Papers

Optimal modified method for a fractional-diffusion inverse heat conduction problem

Pages 521-533 | Received 30 Oct 2008, Accepted 03 Jan 2010, Published online: 19 Apr 2010

Figures & data

Figure 1. (a) Exact and noisy data at x = 1, the noise about 3% and (b) exact and unregularized solutions at x = 0.

Figure 1. (a) Exact and noisy data at x = 1, the noise about 3% and (b) exact and unregularized solutions at x = 0.

Figure 2. (a), (b), (c), (d) Correspond to the solutions at x = 0, 0.1, 0.5, 0.9, respectively.

Figure 2. (a), (b), (c), (d) Correspond to the solutions at x = 0, 0.1, 0.5, 0.9, respectively.

Figure 3. The error of l2 norm vs. the 1/β at x = 0.5.

Figure 3. The error of l2 norm vs. the 1/β at x = 0.5.

Figure 4. The error of l2 norm vs. the noise ϵ at x = 0.

Figure 4. The error of l2 norm vs. the noise ϵ at x = 0.

Figure 5. (a) The computed data at x = 1 and (b) the regularized solutions at x = 0.

Figure 5. (a) The computed data at x = 1 and (b) the regularized solutions at x = 0.

Figure 6. (a) The computed data at x = 1 and (b) the regularized solutions at x = 0.

Figure 6. (a) The computed data at x = 1 and (b) the regularized solutions at x = 0.

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